Perfectly matched layers for the heat and advection-diffusion equations

JOURNAL OF COMPUTATIONAL PHYSICS

卷:229

Article

Lantos, Nicolas^1,2,3  Nataf, Frederic^1,3 

[1] UPMC Univ Paris 06, UMR LJLL 7598, F-75005 Paris, France

[2] Natixis Corp Solut, F-75008 Paris, France

[3] CNRS, UMR LJLL 7598, F-75005 Paris, France

关键词: Convection diffusion equations;    Perfectly matched layers;    Finite element method;    Boundary condition;   

DOI  :  10.1016/j.jcp.2010.08.004

来源: Elsevier

【 摘 要 】

We design a perfectly matched layer for the advection-diffusion equation. We show that the reflection coefficient is exponentially small with respect to the damping parameter and the width of the PML and this independently of the advection and of the viscosity. Numerical tests assess the efficiency of the approach. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free